gmat tricky question , plz answer this

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quantskillsgmat: Senior | Next Rank: 100 Posts; Posts: 96; Joined: Fri Apr 23, 2010 1:14 amFollowed by: 1 member; Thanked: 1 times

by quantskillsgmat » Thu Jun 26, 2014 1:35 am

several cuboids of dimensions 4 by 6 by 8 are joined to form a cube. what should be length of one side of smallest such cube formed.
12
18
24
36
72

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Source: Beat The GMAT — Problem Solving | Thu Jun 26, 2014 1:35 am

GMATinsight: Legendary Member; Posts: 1100; Joined: Sat May 10, 2014 11:34 pmFollowed by: 24 members; Location: New Delhi, India; Thanked: 205 times

by GMATinsight » Thu Jun 26, 2014 2:52 am

LCM of (4, 6, and 8) = 24 Answer

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GMATinsight: Legendary Member; Posts: 1100; Joined: Sat May 10, 2014 11:34 pmFollowed by: 24 members; Location: New Delhi, India; Thanked: 205 times

by GMATinsight » Thu Jun 26, 2014 3:05 am

We will take LCM of 4, 6 and 8 because if we join the cuboids of these dimensions and then every dimension of these cuboids will be formed by 4, 6 and 8 but since we have to make a cube and cube has all sides equal therefore sides should be multiple of 4, 6 and 8 all of them

The smallest multiple of 4, 6 and 8 is LCM of them i.e. 24 therefore side of the smallest such cube will be 24

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